Shape Changing and Accelerating Solitons in the Integrable Variable Mass Sine-Gordon Model

Journal Article · Fri Oct 12 00:00:00 EDT 2007 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.99.154101· OSTI ID:21024262

Kundu, Anjan ^[1]

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1. Theory Group, Saha Institute of Nuclear Physics, Calcutta (India)

The sine-Gordon model with a variable mass (VMSG) appears in many physical systems, ranging from the current through a nonuniform Josephson junction to DNA-promoter dynamics. Such models are usually nonintegrable with solutions found numerically or perturbatively. We construct a class of VMSG models, integrable at both the classical and the quantum levels with exact soliton solutions, which can accelerate and change their shape, width, and amplitude simulating realistic inhomogeneous systems at certain limits.

• OSTI ID: 21024262
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 15 Vol. 99; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DNA
EXACT SOLUTIONS
INTEGRAL CALCULUS
JOSEPHSON JUNCTIONS
MASS
SINE-GORDON EQUATION
SOLITONS